Analytic Formulas

Analytic Geometry Formulas

Graphs and coordinates are used to find measurements of geometric figures. There are many important formulas in coordinate Geometry. Few of the important ones are being used to find Distance, Slope or to find the equation of the line.

Distance Formula

Let the two points be A and B, having coordinates to be (x1,y1) and (x2,y2) respectively.

Thus, the distance between two points is given as-

d = √[(x2-x1)2+(y2-y1)2]

Midpoint Theorem Formula

Let A and B are some points in a plane, which is joined to form a line, having coordinates (x1,y1) and (x2,y2), respectively. Suppose, M(x,y) is the midpoint of the line connecting the point A and B then its formul is given by;

M(x,y) = [(x1+x2/2),(y1+y2/2)]

Angle Formula

Let two lines have slope m1 and m2 and θ is the angle formed between the two lines A and B, which is represented as;

tan θ = m1-m2/1+m1m2

Section Formula

Let two lines A and B have coordinates (x1,y1) and (x2,y2), respectively. A point P the two lines in the ratio of m:n, then the coordinates of P is given by;